Finite density lattice QCD - Challenge for the sign problem and the first principle calculation of the high density system
| Project/Area Number |
24340054
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Partial Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Osaka University (2015)
Hiroshima University (2012-2014) |
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Principal Investigator |
Nakamura Atsushi 大阪大学, 核物理研究センター, 協同研究員 (30130876)
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| Co-Investigator(Kenkyū-buntansha) |
Kunihiro Teiji 京都大学, 理学研究科, 教授 (20153314)
Hatsuda Tetsuo 独立行政法人理化学研究所, 仁科加速器研究センター, 主任研究員 (20192700)
Ohnishi Akira 京都大学, 基礎物理学研究所, 教授 (70250412)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥16,640,000 (Direct Cost: ¥12,800,000、Indirect Cost: ¥3,840,000)
Fiscal Year 2014: ¥5,720,000 (Direct Cost: ¥4,400,000、Indirect Cost: ¥1,320,000)
Fiscal Year 2013: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Fiscal Year 2012: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
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| Keywords | QCD / 符号問題 / 数値シミュレーション / 高密度状態 / 相構造 / Lee Yangゼロ / 閉じこめ / モンテカルロ計算 / 有限密度 / 極限状態 / モンテカルロ法 / カノニカル法 / クォーク / リー・ヤンゼロ / 閉込め / カノニカル分配関数 / ハドロン |
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| Outline of Final Research Achievements |
In order to study QCD phase structure, the lattice QCD simulation is most reliable since it is a first principle calculation. However, the lattice QCD at finite density suffers from so-called sign problem. So far, there have been many progresses as Taylor expansion, imaginary chemical potential method and multi-parameter re-weighting, but still it is difficult to reach low temperature and high density regions.
To go further, we have developed a canonical approach constructed from the fugacity expansion in this project. We have constructed also a method to construct the canonical partition functions from experimental data assuming only the particle anti-particle symmetry. We can now relate experimental data and lattice simulation at finite density regions.
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Report
(4 results)
Research Products
(23 results)
